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Existence of global solutions to differential inclusions; a priori bounds. (English) Zbl 1265.34044

Summary: The paper presents an existence result for global solutions to the finite dimensional differential inclusion \(y'\in F(y) \), \(F\) being defined on a closed set \(K\). A priori bounds for such solutions are provided.

MSC:

34A60 Ordinary differential inclusions
34C11 Growth and boundedness of solutions to ordinary differential equations
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